Resistivity logging in sliding mode

A system for providing a smoothed resistivity log, comprising:

• a body configured to be coupled into a drill string disposed in a wellbore having a wellbore axis and comprising a tool axis that is aligned with the wellbore axis when the body is disposed in the wellbore;
• an antenna coupled to the body and disposed at a non-zero angle to the tool axis;
• an electronics module coupled to the antenna and configured to measure an impedance and provide the measured impedance;
• a geosensor configured to provide an azimuthal angle of the antenna about the wellbore axis and a depth;
• a processor coupled to the electronics module and to the geosensor;
• and
• a memory coupled to the processor and comprising instructions that, when loaded into the processor and executed, cause the processor to execute steps:
• receiving a plurality of impedances and respective azimuthal angles at a respective plurality of depths;
• determining whether the drill string was in a drilling mode or a sliding mode at each of the respective plurality of depths;
• determining, if the drill string was in the drilling mode, a first co-axial component and a lateral component based in part on the plurality of impedances associated with that depth and storing the lateral component;
• determining, if the drill string was in the sliding mode, a second co-axial component based in part on at least one of the plurality of impedances associated with that depth and a previously stored lateral component;
• and
• steering a drill bit connected to the drill string based on one of the determined first co-axial component and the lateral component and the determined second co-axial component.

A memory comprising instructions that, when loaded into a processor and executed, cause the processor to execute steps:

• receiving a plurality of impedances and respective azimuthal angles at a respective plurality of depths;
• determining whether the drill string was in a drilling mode or a sliding mode at each of the respective plurality of depths;
• determining, if the drill string was in the drilling mode, a first co-axial component and a lateral component based in part on the plurality of impedances associated with each of the respective plurality of depths and storing the lateral component;
• determining, if the drill string was in the sliding mode, a second co-axial component based in part on at least one of the plurality of impedances associated with each of the respective plurality of depths and a previously stored lateral component;
• and
• steering a drill bit connected to the drill string based on one of the determined first co-axial component and the lateral component and the determined second co-axial component.